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Solutions for Session 5, Part A
See solutions for Problems: A1 | A2 | A3 | A4 | A5 | A6| A7 | A8
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Problem A1 | |
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The first square requires 4 toothpicks. The second square requires 3 more, bringing the total to 7. Each additional square requires 3 more toothpicks. Here is the completed table:
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Squares | | Toothpicks |
1 | | 4 |
2 | | 7 |
3 | | 10 |
4 | | 13 |
5 | | 16 |
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<< back to Problem A1
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Problem A3 | |
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Three toothpicks are added each time, so a recursive description is that the nth square will require 3 more toothpicks than the one before it. A formula would be written Tn = Tn-1 + 3.
<< back to Problem A3
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Problem A6 | |
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If both rules describe the pattern correctly, the values computed by the spreadsheet should be the same as the values in the table. Note that the spreadsheet information in the columns is not the same; the third column contains formulas, and the screen shows the result of these formulas.
<< back to Problem A6
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Problem A7 | |
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Again, the values should be the same, even though the formulas are not.
<< back to Problem A7
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Problem A8 | |
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This should be the same graph as the one you found in Problem A5.
<< back to Problem A8
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